4. The excess Gibbs energy of a binary liquid mixture at T and P is given by: GE = (-1,4x1 – 2.0x2)x1x2 RT a) Find expressions for Iny1 and Iny2 at T and P. b) Show that when these expressions are combined in accord with G/RT= Exi Inyi the given equation for GF/RT is recovered. c) Show that these equations satisty the Gibbs/Duhem equation (Exi dlnyi = 0)
4. The excess Gibbs energy of a binary liquid mixture at T and P is given by: GE = (-1,4x1 – 2.0x2)x1x2 RT a) Find expressions for Iny1 and Iny2 at T and P. b) Show that when these expressions are combined in accord with G/RT= Exi Inyi the given equation for GF/RT is recovered. c) Show that these equations satisty the Gibbs/Duhem equation (Exi dlnyi = 0)
Introduction to Chemical Engineering Thermodynamics
8th Edition
ISBN:9781259696527
Author:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Publisher:J.M. Smith Termodinamica en ingenieria quimica, Hendrick C Van Ness, Michael Abbott, Mark Swihart
Chapter1: Introduction
Section: Chapter Questions
Problem 1.1P
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Transcribed Image Text:4. The excess Gibbs energy of a binary liquid mixture at T and P is given by;
GE
= (-1,4x, – 2.0x2)x1X2
RT
a) Find expressions for Invi and Inv2 at T and P.
b) Show that when these expressions are combined in accord with G/RT= Exi Invi the
given equation for GF/RT is recovered.
c) Show that these equations satisty the Gibbs/Duhem equation (Exi dlnxi = 0)
d) Show that (dln ¥1/dx1)x1=1= (dln v2/dx1)x1=0= 0.
e) Plot GE /RT , Inyı and Inv2 as calculated by the given equation for GE /RT and by the
equations developed in (a) vs. x1. Label points , Iny1® and Iny2" and show their values.
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